In the figure, STUV is a parallelogram. UX, XY and ST are straight lines. SVW is an isosceles triangle.
- Find ∠e.
- Find ∠f.
(a)
∠UXS = ∠TSY = 60° (Corresponding angles, ST//XU)
∠XWS
= 180° - ∠UXS - ∠XSW
= 180° - 60° - 18°
= 102° (Angles sum of triangle)
∠VWS
= 180° - 102°
= 78° (Angles on a straight line)
∠WVS = ∠VWS = 78° (Isosceles triangle)
∠e
= ∠WVS
= 78° (Corresponding angles, TU//SV)
(b)
∠f
= 180° - 78° - 78°
= 24° (Isosceles triangle SVW)
Answer(s): (a) 78°; (b) 24°